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Simplifying 35 + -22a + -6 + -18a = 14 + -30a + 32 Reorder the terms: 35 + -6 + -22a + -18a = 14 + -30a + 32 Combine like terms: 35 + -6 = 29 29 + -22a + -18a = 14 + -30a + 32 Combine like terms: -22a + -18a = -40a 29 + -40a = 14 + -30a + 32 Reorder the terms: 29 + -40a = 14 + 32 + -30a Combine like terms: 14 + 32 = 46 29 + -40a = 46 + -30a Solving 29 + -40a = 46 + -30a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '30a' to each side of the equation. 29 + -40a + 30a = 46 + -30a + 30a Combine like terms: -40a + 30a = -10a 29 + -10a = 46 + -30a + 30a Combine like terms: -30a + 30a = 0 29 + -10a = 46 + 0 29 + -10a = 46 Add '-29' to each side of the equation. 29 + -29 + -10a = 46 + -29 Combine like terms: 29 + -29 = 0 0 + -10a = 46 + -29 -10a = 46 + -29 Combine like terms: 46 + -29 = 17 -10a = 17 Divide each side by '-10'. a = -1.7 Simplifying a = -1.7
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